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Finding the Third Proportional to 34,112,234.25 and 55,696,322.25

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Solution

The third proportional to 34,112,234.25 and 55,696,322.25 is: 90,937,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,112,234.25 : 55,696,322.25 = 55,696,322.25 : x
  2. Step 2: Convert to fraction form
    34,112,234.25/55,696,322.25 = 55,696,322.25/x
  3. Step 3: Cross multiply
    34,112,234.25x = 55,696,322.25 × 55,696,322.25
  4. Step 4: Simplify right side
    34,112,234.25x = 3,102,080,312,175,845
  5. Step 5: Solve for x
    x = 3,102,080,312,175,845/34,112,234.25
  6. Step 6: Final answer
    x = 90,937,470.98

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.